Existence of formal integrals of symplectic integrators

Author:

Liao Xinhao,Liu Lin

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modelling and Simulation

Reference16 articles.

1. Deprit, A.: 1969,Celest. Mech. 1, 12.

2. Feng, K.: 1985,Proc. 1984 Beijing Symp. on Diff. Geometry and Diff. Eq., ed. by K. Feng, Science Press, Beijing, p. 42.

3. Feng, K.: 1993,Proc. 1st China-Japan Conf. on Numer. Math., eds, Z. C. Shi and T. Ushijima, World Scientific, Singapore, p. 1.

4. Kinoshita, H., et al.: 1991,Celest. Mech. 52, 59.

5. Liao, X. H. and Liu, L.: 1993,Acta Astron. Sinica 34, 198.

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1. Introduction;Symplectic Geometric Algorithms for Hamiltonian Systems;2010

2. A Comparison between the Stabilization Method and the Post-stabilization Method;Chinese Astronomy and Astrophysics;2007-01

3. Non-existence of the modified first integral by symplectic integration methods;Physics Letters A;2001-04

4. Symplectic integrator for general near-integrable Hamiltonian system;CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY;1997

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